Graphes de Ramanujan et applications

© Société mathématique de France, 1997, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

[1]  Nicholas M. Katz,et al.  Estimates for Soto-Andrade sums. , 1993 .

[2]  Howard Garland,et al.  p-Adic Curvature and the Cohomology of Discrete Subgroups of p-Adic Groups , 1973 .

[3]  Zvi Galil,et al.  Explicit Constructions of Linear-Sized Superconcentrators , 1981, J. Comput. Syst. Sci..

[4]  Elinor Velasquez,et al.  Special functions on finite upper half planes , 1992 .

[5]  Joel Friedman,et al.  Some graphs with small second eigenvalue , 1995, Comb..

[6]  Claude Tricot,et al.  La méthode des graphes , 1965 .

[7]  W. Ballmann,et al.  On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes , 1997 .

[8]  M. Eichler,et al.  Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion , 1954 .

[9]  A. Ogg,et al.  Modular forms and Dirichlet series , 1969 .

[10]  Patrick Solé,et al.  Spectra of Regular Graphs and Hypergraphs and Orthogonal Polynomials , 1996, Eur. J. Comb..

[11]  Patrick Chiu,et al.  Cubic Ramanujan graphs , 1992, Comb..

[12]  Dale Husemoller,et al.  Elliptic Curves (1st ed.) , 1987 .

[13]  Joseph H. Silverman,et al.  The arithmetic of elliptic curves , 1986, Graduate texts in mathematics.

[14]  D. I. Wallace,et al.  The Selberg trace formula for (3,)\(3,)/(3,) , 1994 .

[15]  W. Li,et al.  Eigenvalues of Ramanujan Graphs , 1999 .

[16]  V. Drinfel'd,et al.  Finitely additive measures on S2 and S3, invariant with respect to rotations , 1984 .

[17]  M. Vignéras.  Arithmétique des Algèbres de Quaternions , 1980 .

[18]  Y. Cho,et al.  Discrete Groups , 1994 .

[19]  A. Borel,et al.  Cohomologie de certains groupes discrets et laplacien $p$-adique , 1974 .

[20]  Audrey A. Terras,et al.  Survey of Spectra of Laplacians on Finite Symmetric Spaces , 1996, Exp. Math..

[21]  P. Sarnak.  Some Applications of Modular Forms , 1990 .

[22]  M. Takesaki,et al.  Analyticity and the Unruh effect: a study of local modular flow , 2024, Journal of High Energy Physics.

[23]  A. Zuk,et al.  La propriété (T) de Kazhdan pour les groupes agissant sur les polyèdres , 1996 .

[24]  Michael Clausen,et al.  Algebraic complexity theory , 1997, Grundlehren der mathematischen Wissenschaften.

[25]  A. Weil.  On Some Exponential Sums. , 1948, Proceedings of the National Academy of Sciences of the United States of America.

[26]  A. Atkin,et al.  Modular Forms , 2017 .

[27]  Donald I. Cartwright,et al.  Property (T) and Ã2 groups , 1994 .

[28]  A. Pizer.  Ramanujan graphs and Hecke operators , 1990 .

[29]  F. Chung.  Diameters and eigenvalues , 1989 .

[30]  A. Lubotzky,et al.  Hecke operators and distributing points on S2. II , 1987 .

[31]  Norman L. Biggs,et al.  Note on the girth of Ramanujan graphs , 1990, J. Comb. Theory, Ser. B.

[32]  P. Deligne.  La conjecture de Weil. I , 1974 .

[33]  A. Nilli.  On the second eigenvalue of a graph , 1991 .

[34]  Moshe Morgenstern.  Ramanujan Graphs and Diagrams Function Field Approach , 1992, Expanding Graphs.

[35]  F. Bien.  Constructions of telephone networks by group representations , 1989 .

[36]  Audrey Terras,et al.  Finite analogues of Euclidean space , 1996 .